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Finding the Fourth Proportional to 10,702.94, 16,054.41 and 7,028.42

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Solution

The fourth proportional to 10,702.94, 16,054.41 and 7,028.42 is: 10,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.94 : 16,054.41 = 7,028.42 : x
  2. Step 2: Convert to fraction form
    10,702.94/16,054.41 = 7,028.42/x
  3. Step 3: Cross multiply
    10,702.94x = 16,054.41 × 7,028.42
  4. Step 4: Simplify right side
    10,702.94x = 112,837,136.33
  5. Step 5: Solve for x
    x = 112,837,136.33/10,702.94
  6. Step 6: Final answer
    x = 10,542.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.